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Finding the Third Proportional to 638,332 and 945,173

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Solution

The third proportional to 638,332 and 945,173 is: 1,399,509.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,332 : 945,173 = 945,173 : x
  2. Step 2: Convert to fraction form
    638,332/945,173 = 945,173/x
  3. Step 3: Cross multiply
    638,332x = 945,173 × 945,173
  4. Step 4: Simplify right side
    638,332x = 893,351,999,929
  5. Step 5: Solve for x
    x = 893,351,999,929/638,332
  6. Step 6: Final answer
    x = 1,399,509.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.